On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method

被引：63

作者：

Uddin, Marjan ^{[1
]}

机构：

[1] Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan

来源：

APPLIED MATHEMATICAL MODELLING | 2014年 / 38卷 / 01期

关键词：

Kernel functions; Partial differential equations; Cross validation; Shape parameter; RADIAL BASIS FUNCTIONS; FUNCTION COLLOCATION METHODS; MESH-FREE METHOD; NUMERICAL-SOLUTION; SCATTERED DATA; INTERPOLATION; SCHEME; MULTIQUADRICS;

D O I：

10.1016/j.apm.2013.05.060

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Radial basis function method is an effective tool for solving differential equations in engineering and sciences. Many radial basis functions contain a shape parameter c which is directly connected to the accuracy of the method. Rippa [1] proposed an algorithm for selecting good value of shape parameter c in RBF-interpolation. Based on this idea, we extended the proposed algorithm for selecting a good value of shape parameter c in solving time-dependent partial differential equations. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：135 / 144

页数：10

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